312732566640 has 360 divisors, whose sum is σ = 1140360137280. Its totient is φ = 76770809856.

The previous prime is 312732566621. The next prime is 312732566677. The reversal of 312732566640 is 46665237213.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47330217 + ... + 47336823.

It is an arithmetic number, because the mean of its divisors is an integer number (3167667048).

Almost surely, 2^312732566640 is an apocalyptic number.

312732566640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312732566640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570180068640).

312732566640 is an abundant number, since it is smaller than the sum of its proper divisors (827627570640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312732566640 is a wasteful number, since it uses less digits than its factorization.

312732566640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 312732566640 in words is "three hundred twelve billion, seven hundred thirty-two million, five hundred sixty-six thousand, six hundred forty".